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<tr class="t-nv"><td colspan="5"> <a href="span.html" title="cpp/header/span"><tt>&lt;span&gt;</tt></a> <span class="t-mark-rev t-since-cxx20">(C++20)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="array.html" title="cpp/header/array"><tt>&lt;array&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="vector.html" title="cpp/header/vector"><tt>&lt;vector&gt;</tt></a></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="deque.html" title="cpp/header/deque"><tt>&lt;deque&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="forward_list.html" title="cpp/header/forward list"><tt>&lt;forward_list&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="list.html" title="cpp/header/list"><tt>&lt;list&gt;</tt></a></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="map.html" title="cpp/header/map"><tt>&lt;map&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="set.html" title="cpp/header/set"><tt>&lt;set&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="queue.html" title="cpp/header/queue"><tt>&lt;queue&gt;</tt></a></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="unordered_map.html" title="cpp/header/unordered map"><tt>&lt;unordered_map&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="unordered_set.html" title="cpp/header/unordered set"><tt>&lt;unordered_set&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="stack.html" title="cpp/header/stack"><tt>&lt;stack&gt;</tt></a></td></tr>
</table></div></td></tr>
<tr class="t-nv-h2"><td colspan="5"> Iterators</td></tr>
<tr class="t-nv"><td colspan="5"> <a href="iterator.html" title="cpp/header/iterator"><tt>&lt;iterator&gt;</tt></a></td></tr>
<tr class="t-nv-h2"><td colspan="5"> Ranges</td></tr>
<tr class="t-nv"><td colspan="5"> <a href="ranges.html" title="cpp/header/ranges"><tt>&lt;ranges&gt;</tt></a> <span class="t-mark-rev t-since-cxx20">(C++20)</span></td></tr>
<tr class="t-nv-h2"><td colspan="5"> Algorithms</td></tr>
<tr class="t-nv-col-table"><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="algorithm.html" title="cpp/header/algorithm"><tt>&lt;algorithm&gt;</tt></a></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="execution.html" title="cpp/header/execution"><tt>&lt;execution&gt;</tt></a> <span class="t-mark-rev t-since-cxx17">(C++17)</span></td></tr>
</table></div></td></tr>
<tr class="t-nv-h2"><td colspan="5"> Numerics</td></tr>
<tr class="t-nv-col-table"><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="complex.html" title="cpp/header/complex"><tt>&lt;complex&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="random.html" title="cpp/header/random"><tt>&lt;random&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="valarray.html" title="cpp/header/valarray"><tt>&lt;valarray&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="numeric.html" title="cpp/header/numeric"><tt>&lt;numeric&gt;</tt></a></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="bit.html" title="cpp/header/bit"><tt>&lt;bit&gt;</tt></a> <span class="t-mark-rev t-since-cxx20">(C++20)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="numbers.html" title="cpp/header/numbers"><tt>&lt;numbers&gt;</tt></a> <span class="t-mark-rev t-since-cxx20">(C++20)</span></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="cfenv.html" title="cpp/header/cfenv"><tt>&lt;cfenv&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <strong class="selflink"><tt>&lt;cmath&gt;</tt></strong></td></tr>
</table></div></td></tr>
<tr class="t-nv-h2"><td colspan="5"> Input/Output</td></tr>
<tr class="t-nv-col-table"><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="iosfwd.html" title="cpp/header/iosfwd"><tt>&lt;iosfwd&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="ios.html" title="cpp/header/ios"><tt>&lt;ios&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="iomanip.html" title="cpp/header/iomanip"><tt>&lt;iomanip&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="streambuf.html" title="cpp/header/streambuf"><tt>&lt;streambuf&gt;</tt></a></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="istream.html" title="cpp/header/istream"><tt>&lt;istream&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="ostream.html" title="cpp/header/ostream"><tt>&lt;ostream&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="iostream.html" title="cpp/header/iostream"><tt>&lt;iostream&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <br>
</td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="syncstream.html" title="cpp/header/syncstream"><tt>&lt;syncstream&gt;</tt></a> <span class="t-mark-rev t-since-cxx20">(C++20)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="spanstream.html" title="cpp/header/spanstream"><tt>&lt;spanstream&gt;</tt></a> <span class="t-mark-rev t-since-cxx23">(C++23)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="sstream.html" title="cpp/header/sstream"><tt>&lt;sstream&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="fstream.html" title="cpp/header/fstream"><tt>&lt;fstream&gt;</tt></a></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="cstdio.html" title="cpp/header/cstdio"><tt>&lt;cstdio&gt;</tt></a></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="cinttypes.html" title="cpp/header/cinttypes"><tt>&lt;cinttypes&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="strstream.html" title="cpp/header/strstream"><tt>&lt;strstream&gt;</tt></a> <span class="t-mark">(C++98/)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <br>
</td></tr>
</table></div></td></tr>
<tr class="t-nv-h2"><td colspan="5"> Regular expressions</td></tr>
<tr class="t-nv"><td colspan="5"> <a href="regex.html" title="cpp/header/regex"><tt>&lt;regex&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
<tr class="t-nv-h2"><td colspan="5"> Filesystem support</td></tr>
<tr class="t-nv"><td colspan="5"> <a href="filesystem.html" title="cpp/header/filesystem"><tt>&lt;filesystem&gt;</tt></a> <span class="t-mark-rev t-since-cxx17">(C++17)</span></td></tr>
<tr class="t-nv-h2"><td colspan="5"> Thread support</td></tr>
<tr class="t-nv-col-table"><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="thread.html" title="cpp/header/thread"><tt>&lt;thread&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="atomic.html" title="cpp/header/atomic"><tt>&lt;atomic&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="mutex.html" title="cpp/header/mutex"><tt>&lt;mutex&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="shared_mutex.html" title="cpp/header/shared mutex"><tt>&lt;shared_mutex&gt;</tt></a> <span class="t-mark-rev t-since-cxx14">(C++14)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="condition_variable.html" title="cpp/header/condition variable"><tt>&lt;condition_variable&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span>  </td></tr>
<tr class="t-nv"><td colspan="5"> <a href="future.html" title="cpp/header/future"><tt>&lt;future&gt;</tt></a> <span class="t-mark-rev t-since-cxx11">(C++11)</span></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="stop_token.html" title="cpp/header/stop token"><tt>&lt;stop_token&gt;</tt></a> <span class="t-mark-rev t-since-cxx20">(C++20)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="semaphore.html" title="cpp/header/semaphore"><tt>&lt;semaphore&gt;</tt></a> <span class="t-mark-rev t-since-cxx20">(C++20)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <br>
</td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="latch.html" title="cpp/header/latch"><tt>&lt;latch&gt;</tt></a> <span class="t-mark-rev t-since-cxx20">(C++20)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="barrier.html" title="cpp/header/barrier"><tt>&lt;barrier&gt;</tt></a> <span class="t-mark-rev t-since-cxx20">(C++20)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <br>
</td></tr>
</table></div></td></tr>
<tr class="t-nv-h2"><td colspan="5"> C compatibility</td></tr>
<tr class="t-nv-col-table"><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="cstdbool.html" title="cpp/header/cstdbool"><tt>&lt;cstdbool&gt;</tt></a> <span class="t-mark">(C++11/17/20)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="ccomplex.html" title="cpp/header/ccomplex"><tt>&lt;ccomplex&gt;</tt></a> <span class="t-mark">(C++11/17/20)</span></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="ctgmath.html" title="cpp/header/ctgmath"><tt>&lt;ctgmath&gt;</tt></a> <span class="t-mark">(C++11/17/20)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="cstdalign.html" title="cpp/header/cstdalign"><tt>&lt;cstdalign&gt;</tt></a> <span class="t-mark">(C++11/17/20)</span></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"> <a href="ciso646.html" title="cpp/header/ciso646"><tt>&lt;ciso646&gt;</tt></a> <span class="t-mark-rev t-until-cxx20">(until C++20)</span></td></tr>
<tr class="t-nv"><td colspan="5"> <a href="stdatomic.h.html" title="cpp/header/stdatomic.h"><tt>&lt;stdatomic.h&gt;</tt></a></td></tr>
</table></div></td></tr>
</table></div><div></div></div></div></div><div class="t-navbar-sep"> </div></div>
<p>This header was originally in the C standard library as <code><b>&lt;math.h&gt;</b></code>.
</p><p>This header is part of the <a href="../numeric.html" title="cpp/numeric">numeric</a> library.
</p>
<table class="t-dsc-begin">

<tr>
<td colspan="2"> <h3> <span class="mw-headline" id="Types"> Types</span></h3>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><span class="t-lines"><span>float_t</span></span></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   most efficient floating-point type at least as wide as <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="kw4">float</span></span></span>  <br> <span class="t-mark">(typedef)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><span class="t-lines"><span>double_t</span></span></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   most efficient floating-point type at least as wide as <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="kw4">double</span></span></span>  <br> <span class="t-mark">(typedef)</span> </td></tr>


<tr>
<td colspan="2"> <h3> <span class="mw-headline" id="Macros"> Macros</span></h3>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/HUGE_VAL.html" title="cpp/numeric/math/HUGE VAL"> <span class="t-lines"><span>HUGE_VALF</span><span>HUGE_VAL</span><span>HUGE_VALL</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   indicates the overflow value for <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="kw4">float</span></span></span>, <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="kw4">double</span></span></span> and <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="kw4">long</span> <span class="kw4">double</span></span></span> respectively   <br> <span class="t-mark">(macro constant)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/INFINITY.html" title="cpp/numeric/math/INFINITY"> <span class="t-lines"><span>INFINITY</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   evaluates to positive infinity or the value guaranteed to overflow a <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="kw4">float</span></span></span> <br> <span class="t-mark">(macro constant)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/NAN.html" title="cpp/numeric/math/NAN"> <span class="t-lines"><span>NAN</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   evaluates to a quiet NaN of type <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="kw4">float</span></span></span>  <br> <span class="t-mark">(macro constant)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/math_errhandling.html" title="cpp/numeric/math/math errhandling"> <span class="t-lines"><span>math_errhandling</span><span>MATH_ERRNO</span><span>MATH_ERREXCEPT</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   defines the error handling mechanism used by the common mathematical functions  <br> <span class="t-mark">(macro constant)</span> </td></tr>

<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Classification">  Classification </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/FP_categories.html" title="cpp/numeric/math/FP categories"> <span class="t-lines"><span>FP_NORMAL</span><span>FP_SUBNORMAL</span><span>FP_ZERO</span><span>FP_INFINITE</span><span>FP_NAN</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   indicates a floating-point category  <br> <span class="t-mark">(macro constant)</span> </td></tr>


<tr>
<td colspan="2"> <h3> <span class="mw-headline" id="Functions"> Functions</span></h3>
</td></tr>

<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Basic_operations">  Basic operations </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/fabs.html" title="cpp/numeric/math/fabs"> <span class="t-lines"><span>abs<span class="t-dsc-small">(float)</span></span><span>fabs</span><span>fabsf</span><span>fabsl</span></span></a></div><div><span class="t-lines"><span></span><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   absolute value of a floating point value (<span class="mjax" style="display:none">\(\small{|x|}\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">|x|</span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/fmod.html" title="cpp/numeric/math/fmod"> <span class="t-lines"><span>fmod</span><span>fmodf</span><span>fmodl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   remainder of the floating point division operation <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/remainder.html" title="cpp/numeric/math/remainder"> <span class="t-lines"><span>remainder</span><span>remainderf</span><span>remainderl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   signed remainder of the division operation  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/remquo.html" title="cpp/numeric/math/remquo"> <span class="t-lines"><span>remquo</span><span>remquof</span><span>remquol</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   signed remainder as well as the three last bits of the division operation <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/fma.html" title="cpp/numeric/math/fma"> <span class="t-lines"><span>fma</span><span>fmaf</span><span>fmal</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   fused multiply-add operation  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/fmax.html" title="cpp/numeric/math/fmax"> <span class="t-lines"><span>fmax</span><span>fmaxf</span><span>fmaxl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   larger of two floating-point values  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/fmin.html" title="cpp/numeric/math/fmin"> <span class="t-lines"><span>fmin</span><span>fminf</span><span>fminl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   smaller of two floating point values  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/fdim.html" title="cpp/numeric/math/fdim"> <span class="t-lines"><span>fdim</span><span>fdimf</span><span>fdiml</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   positive difference of two floating point values (<span class="mjax" style="display:none">\({\small\max{(0, x-y)} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">max(0, x-y)</span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/nan.2.html" title="cpp/numeric/math/nan"> <span class="t-lines"><span>nan</span><span>nanf</span><span>nanl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   not-a-number (NaN)  <br> <span class="t-mark">(function)</span> </td></tr>


<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Linear_interpolation">  Linear interpolation </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/lerp.html" title="cpp/numeric/lerp"> <span class="t-lines"><span>lerp</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx20">(C++20)</span></span></span></div></div>
</td>
<td>   linear interpolation function  <br> <span class="t-mark">(function)</span> </td></tr>


<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Exponential_functions">  Exponential functions </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/exp.html" title="cpp/numeric/math/exp"> <span class="t-lines"><span>exp</span><span>expf</span><span>expl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   returns <i>e</i> raised to the given power (<span class="mjax" style="display:none">\({\small e^x}\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">e<sup>x</sup></span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/exp2.html" title="cpp/numeric/math/exp2"> <span class="t-lines"><span>exp2</span><span>exp2f</span><span>exp2l</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   returns <i>2</i> raised to the given power (<span class="mjax" style="display:none">\({\small 2^x}\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">2<sup>x</sup></span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/expm1.html" title="cpp/numeric/math/expm1"> <span class="t-lines"><span>expm1</span><span>expm1f</span><span>expm1l</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   returns <i>e</i> raised to the given power, minus one (<span class="mjax" style="display:none">\({\small e^x-1}\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">e<sup>x</sup>-1</span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/log.html" title="cpp/numeric/math/log"> <span class="t-lines"><span>log</span><span>logf</span><span>logl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes natural (base <i>e</i>) logarithm (<span class="mjax" style="display:none">\({\small \ln{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">ln(x)</span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/log10.html" title="cpp/numeric/math/log10"> <span class="t-lines"><span>log10</span><span>log10f</span><span>log10l</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes common (base <i>10</i>) logarithm (<span class="mjax" style="display:none">\({\small \log_{10}{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">log<sub>10</sub>(x)</span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/log2.html" title="cpp/numeric/math/log2"> <span class="t-lines"><span>log2</span><span>log2f</span><span>log2l</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   base 2 logarithm of the given number (<span class="mjax" style="display:none">\({\small \log_{2}{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">log<sub>2</sub>(x)</span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/log1p.html" title="cpp/numeric/math/log1p"> <span class="t-lines"><span>log1p</span><span>log1pf</span><span>log1pl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   natural logarithm (to base <i>e</i>) of 1 plus the given number (<span class="mjax" style="display:none">\({\small \ln{(1+x)} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">ln(1+x)</span>)   <br> <span class="t-mark">(function)</span> </td></tr>


<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Power_functions">  Power functions </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/pow.html" title="cpp/numeric/math/pow"> <span class="t-lines"><span>pow</span><span>powf</span><span>powl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   raises a number to the given power (<span class="mjax" style="display:none">\(\small{x^y}\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">x<sup>y</sup></span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/sqrt.html" title="cpp/numeric/math/sqrt"> <span class="t-lines"><span>sqrt</span><span>sqrtf</span><span>sqrtl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes square root (<span class="mjax" style="display:none">\(\small{\sqrt{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;"><span class="t-mrad"><span>√</span><span>x</span></span></span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/cbrt.html" title="cpp/numeric/math/cbrt"> <span class="t-lines"><span>cbrt</span><span>cbrtf</span><span>cbrtl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes cubic root  (<span class="mjax" style="display:none">\(\small{\sqrt[3]{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;"><span class="t-mrad"><span>3</span><span>√</span><span>x</span></span></span>) <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/hypot.html" title="cpp/numeric/math/hypot"> <span class="t-lines"><span>hypot</span><span>hypotf</span><span>hypotl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes square root of the sum of the squares of two or three <span class="t-mark-rev t-since-cxx17">(C++17)</span> given numbers (<span class="mjax" style="display:none">\(\scriptsize{\sqrt{x^2+y^2} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;"><span class="t-mrad"><span>√</span><span>x<span class="t-su">2<br></span>+y<span class="t-su">2<br></span></span></span></span>), (<span class="mjax" style="display:none">\(\scriptsize{\sqrt{x^2+y^2+z^2} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;"><span class="t-mrad"><span>√</span><span>x<span class="t-su">2<br></span>+y<span class="t-su">2<br></span>+z<span class="t-su">2<br></span></span></span></span>)  <br> <span class="t-mark">(function)</span> </td></tr>


<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Trigonometric_functions">  Trigonometric functions </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/sin.html" title="cpp/numeric/math/sin"> <span class="t-lines"><span>sin</span><span>sinf</span><span>sinl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes sine (<span class="mjax" style="display:none">\({\small\sin{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">sin(x)</span>) <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/cos.html" title="cpp/numeric/math/cos"> <span class="t-lines"><span>cos</span><span>cosf</span><span>cosl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>  computes cosine (<span class="mjax" style="display:none">\({\small\cos{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">cos(x)</span>) <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/tan.html" title="cpp/numeric/math/tan"> <span class="t-lines"><span>tan</span><span>tanf</span><span>tanl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes tangent (<span class="mjax" style="display:none">\({\small\tan{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">tan(x)</span>) <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/asin.html" title="cpp/numeric/math/asin"> <span class="t-lines"><span>asin</span><span>asinf</span><span>asinl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes arc sine (<span class="mjax" style="display:none">\({\small\arcsin{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">arcsin(x)</span>) <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/acos.html" title="cpp/numeric/math/acos"> <span class="t-lines"><span>acos</span><span>acosf</span><span>acosl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>  computes arc cosine (<span class="mjax" style="display:none">\({\small\arccos{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">arccos(x)</span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/atan.html" title="cpp/numeric/math/atan"> <span class="t-lines"><span>atan</span><span>atanf</span><span>atanl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes arc tangent (<span class="mjax" style="display:none">\({\small\arctan{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">arctan(x)</span>) <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/atan2.html" title="cpp/numeric/math/atan2"> <span class="t-lines"><span>atan2</span><span>atan2f</span><span>atan2l</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   arc tangent, using signs to determine quadrants  <br> <span class="t-mark">(function)</span> </td></tr>


<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Hyperbolic_functions">  Hyperbolic functions </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/sinh.html" title="cpp/numeric/math/sinh"> <span class="t-lines"><span>sinh</span><span>sinhf</span><span>sinhl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes hyperbolic sine (<span class="mjax" style="display:none">\({\small\sinh{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">sinh(x)</span>) <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/cosh.html" title="cpp/numeric/math/cosh"> <span class="t-lines"><span>cosh</span><span>coshf</span><span>coshl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>  computes hyperbolic cosine (<span class="mjax" style="display:none">\({\small\cosh{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">cosh(x)</span>) <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/tanh.html" title="cpp/numeric/math/tanh"> <span class="t-lines"><span>tanh</span><span>tanhf</span><span>tanhl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes hyperbolic tangent (<span class="mjax" style="display:none">\({\small\tanh{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">tanh(x)</span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/asinh.html" title="cpp/numeric/math/asinh"> <span class="t-lines"><span>asinh</span><span>asinhf</span><span>asinhl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes the inverse hyperbolic sine (<span class="mjax" style="display:none">\({\small\operatorname{arsinh}{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">arsinh(x)</span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/acosh.html" title="cpp/numeric/math/acosh"> <span class="t-lines"><span>acosh</span><span>acoshf</span><span>acoshl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes the inverse hyperbolic cosine (<span class="mjax" style="display:none">\({\small\operatorname{arcosh}{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">arcosh(x)</span>)  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/atanh.html" title="cpp/numeric/math/atanh"> <span class="t-lines"><span>atanh</span><span>atanhf</span><span>atanhl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   computes the inverse hyperbolic tangent (<span class="mjax" style="display:none">\({\small\operatorname{artanh}{x} }\)</span><span class="mjax-fallback texhtml" style="white-space: nowrap;">artanh(x)</span>) <br> <span class="t-mark">(function)</span> </td></tr>


<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Error_and_gamma_functions">  Error and gamma functions </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/erf.html" title="cpp/numeric/math/erf"> <span class="t-lines"><span>erf</span><span>erff</span><span>erfl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   error function   <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/erfc.html" title="cpp/numeric/math/erfc"> <span class="t-lines"><span>erfc</span><span>erfcf</span><span>erfcl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   complementary error function  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/tgamma.html" title="cpp/numeric/math/tgamma"> <span class="t-lines"><span>tgamma</span><span>tgammaf</span><span>tgammal</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   gamma function  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/lgamma.html" title="cpp/numeric/math/lgamma"> <span class="t-lines"><span>lgamma</span><span>lgammaf</span><span>lgammal</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   natural logarithm of the gamma function  <br> <span class="t-mark">(function)</span> </td></tr>


<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Nearest_integer_floating-point_operations">  Nearest integer floating-point operations </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/ceil.html" title="cpp/numeric/math/ceil"> <span class="t-lines"><span>ceil</span><span>ceilf</span><span>ceill</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   nearest integer not less than the given value  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/floor.html" title="cpp/numeric/math/floor"> <span class="t-lines"><span>floor</span><span>floorf</span><span>floorl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   nearest integer not greater than the given value  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/trunc.html" title="cpp/numeric/math/trunc"> <span class="t-lines"><span>trunc</span><span>truncf</span><span>truncl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   nearest integer not greater in magnitude than the given value  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/round.html" title="cpp/numeric/math/round"> <span class="t-lines"><span>round</span><span>roundf</span><span>roundl</span><span>lround</span><span>lroundf</span><span>lroundl</span><span>llround</span><span>llroundf</span><span>llroundl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   nearest integer, rounding away from zero in halfway cases  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/nearbyint.html" title="cpp/numeric/math/nearbyint"> <span class="t-lines"><span>nearbyint</span><span>nearbyintf</span><span>nearbyintl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   nearest integer using current rounding mode  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/rint.html" title="cpp/numeric/math/rint"> <span class="t-lines"><span>rint</span><span>rintf</span><span>rintl</span><span>lrint</span><span>lrintf</span><span>lrintl</span><span>llrint</span><span>llrintf</span><span>llrintl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   nearest integer using current rounding mode with <br> exception if the result differs  <br> <span class="t-mark">(function)</span> </td></tr>


<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Floating-point_manipulation_functions">  Floating-point manipulation functions </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/frexp.html" title="cpp/numeric/math/frexp"> <span class="t-lines"><span>frexp</span><span>frexpf</span><span>frexpl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>  decomposes a number into significand and a power of <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="nu0">2</span></span></span>  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/ldexp.html" title="cpp/numeric/math/ldexp"> <span class="t-lines"><span>ldexp</span><span>ldexpf</span><span>ldexpl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   multiplies a number by <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="nu0">2</span></span></span> raised to a power <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/modf.html" title="cpp/numeric/math/modf"> <span class="t-lines"><span>modf</span><span>modff</span><span>modfl</span></span></a></div><div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>  decomposes a number into integer and fractional parts  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/scalbn.html" title="cpp/numeric/math/scalbn"> <span class="t-lines"><span>scalbn</span><span>scalbnf</span><span>scalbnl</span><span>scalbln</span><span>scalblnf</span><span>scalblnl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   multiplies a number by <span class="t-lc"><a href="../types/climits.html" title="cpp/types/climits">FLT_RADIX</a></span> raised to a power  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/ilogb.html" title="cpp/numeric/math/ilogb"> <span class="t-lines"><span>ilogb</span><span>ilogbf</span><span>ilogbl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   extracts exponent of the number  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/logb.html" title="cpp/numeric/math/logb"> <span class="t-lines"><span>logb</span><span>logbf</span><span>logbl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   extracts exponent of the number  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/nextafter.html" title="cpp/numeric/math/nextafter"> <span class="t-lines"><span>nextafter</span><span>nextafterf</span><span>nextafterl</span><span>nexttoward</span><span>nexttowardf</span><span>nexttowardl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span> </span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   next representable floating point value towards the given value  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/copysign.html" title="cpp/numeric/math/copysign"> <span class="t-lines"><span>copysign</span><span>copysignf</span><span>copysignl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   copies the sign of a floating point value  <br> <span class="t-mark">(function)</span> </td></tr>


<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Classification_and_comparison">  Classification and comparison </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/fpclassify.html" title="cpp/numeric/math/fpclassify"> <span class="t-lines"><span>fpclassify</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   categorizes the given floating-point value  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/isfinite.html" title="cpp/numeric/math/isfinite"> <span class="t-lines"><span>isfinite</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   checks if the given number has finite value  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/isinf.html" title="cpp/numeric/math/isinf"> <span class="t-lines"><span>isinf</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   checks if the given number is infinite  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/isnan.html" title="cpp/numeric/math/isnan"> <span class="t-lines"><span>isnan</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   checks if the given number is NaN <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/isnormal.html" title="cpp/numeric/math/isnormal"> <span class="t-lines"><span>isnormal</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   checks if the given number is normal  <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/signbit.html" title="cpp/numeric/math/signbit"> <span class="t-lines"><span>signbit</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   checks if the given number is negative  <br> <span class="t-mark">(function)</span> </td></tr>


<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/isgreater.html" title="cpp/numeric/math/isgreater"> <span class="t-lines"><span>isgreater</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   checks if the first floating-point argument is greater than the second <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/isgreaterequal.html" title="cpp/numeric/math/isgreaterequal"> <span class="t-lines"><span>isgreaterequal</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   checks if the first floating-point argument is greater or equal than the second <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/isless.html" title="cpp/numeric/math/isless"> <span class="t-lines"><span>isless</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   checks if the first floating-point argument is less than the second <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/islessequal.html" title="cpp/numeric/math/islessequal"> <span class="t-lines"><span>islessequal</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   checks if the first floating-point argument is less or equal than the second <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/islessgreater.html" title="cpp/numeric/math/islessgreater"> <span class="t-lines"><span>islessgreater</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   checks if the first floating-point argument is less or greater than the second <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/math/isunordered.html" title="cpp/numeric/math/isunordered"> <span class="t-lines"><span>isunordered</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx11">(C++11)</span></span></span></div></div>
</td>
<td>   checks if two floating-point values are unordered <br> <span class="t-mark">(function)</span> </td></tr>


<tr>
<td colspan="2"> <h5> <span class="mw-headline" id="Mathematical_special_functions">  Mathematical special functions </span></h5>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/assoc_laguerre.html" title="cpp/numeric/special functions/assoc laguerre"> <span class="t-lines"><span>assoc_laguerre</span><span>assoc_laguerref</span><span>assoc_laguerrel</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   associated Laguerre polynomials <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/assoc_legendre.html" title="cpp/numeric/special functions/assoc legendre"> <span class="t-lines"><span>assoc_legendre</span><span>assoc_legendref</span><span>assoc_legendrel</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   associated Legendre polynomials <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/beta.html" title="cpp/numeric/special functions/beta"> <span class="t-lines"><span>beta</span><span>betaf</span><span>betal</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   beta function <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/comp_ellint_1.html" title="cpp/numeric/special functions/comp ellint 1"> <span class="t-lines"><span>comp_ellint_1</span><span>comp_ellint_1f</span><span>comp_ellint_1l</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   (complete) elliptic integral of the first kind <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/comp_ellint_2.html" title="cpp/numeric/special functions/comp ellint 2"> <span class="t-lines"><span>comp_ellint_2</span><span>comp_ellint_2f</span><span>comp_ellint_2l</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>    (complete) elliptic integral of the second kind <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/comp_ellint_3.html" title="cpp/numeric/special functions/comp ellint 3"> <span class="t-lines"><span>comp_ellint_3</span><span>comp_ellint_3f</span><span>comp_ellint_3l</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   (complete) elliptic integral of the third kind <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/cyl_bessel_i.html" title="cpp/numeric/special functions/cyl bessel i"> <span class="t-lines"><span>cyl_bessel_i</span><span>cyl_bessel_if</span><span>cyl_bessel_il</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   regular modified cylindrical Bessel functions <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/cyl_bessel_j.html" title="cpp/numeric/special functions/cyl bessel j"> <span class="t-lines"><span>cyl_bessel_j</span><span>cyl_bessel_jf</span><span>cyl_bessel_jl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   cylindrical Bessel functions (of the first kind) <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/cyl_bessel_k.html" title="cpp/numeric/special functions/cyl bessel k"> <span class="t-lines"><span>cyl_bessel_k</span><span>cyl_bessel_kf</span><span>cyl_bessel_kl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   irregular modified cylindrical Bessel functions <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/cyl_neumann.html" title="cpp/numeric/special functions/cyl neumann"> <span class="t-lines"><span>cyl_neumann</span><span>cyl_neumannf</span><span>cyl_neumannl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>  cylindrical Neumann functions <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/ellint_1.html" title="cpp/numeric/special functions/ellint 1"> <span class="t-lines"><span>ellint_1</span><span>ellint_1f</span><span>ellint_1l</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   (incomplete) elliptic integral of the first kind <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/ellint_2.html" title="cpp/numeric/special functions/ellint 2"> <span class="t-lines"><span>ellint_2</span><span>ellint_2f</span><span>ellint_2l</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>  (incomplete) elliptic integral of the second kind <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/ellint_3.html" title="cpp/numeric/special functions/ellint 3"> <span class="t-lines"><span>ellint_3</span><span>ellint_3f</span><span>ellint_3l</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>  (incomplete) elliptic integral of the third kind <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/expint.html" title="cpp/numeric/special functions/expint"> <span class="t-lines"><span>expint</span><span>expintf</span><span>expintl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>  exponential integral <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/hermite.html" title="cpp/numeric/special functions/hermite"> <span class="t-lines"><span>hermite</span><span>hermitef</span><span>hermitel</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   Hermite polynomials <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/legendre.html" title="cpp/numeric/special functions/legendre"> <span class="t-lines"><span>legendre</span><span>legendref</span><span>legendrel</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   Legendre polynomials <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/laguerre.html" title="cpp/numeric/special functions/laguerre"> <span class="t-lines"><span>laguerre</span><span>laguerref</span><span>laguerrel</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   Laguerre polynomials <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/riemann_zeta.html" title="cpp/numeric/special functions/riemann zeta"> <span class="t-lines"><span>riemann_zeta</span><span>riemann_zetaf</span><span>riemann_zetal</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   Riemann zeta function <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/sph_bessel.html" title="cpp/numeric/special functions/sph bessel"> <span class="t-lines"><span>sph_bessel</span><span>sph_besself</span><span>sph_bessell</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   spherical Bessel functions (of the first kind) <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/sph_legendre.html" title="cpp/numeric/special functions/sph legendre"> <span class="t-lines"><span>sph_legendre</span><span>sph_legendref</span><span>sph_legendrel</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   spherical associated Legendre functions <br> <span class="t-mark">(function)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="../numeric/special_functions/sph_neumann.html" title="cpp/numeric/special functions/sph neumann"> <span class="t-lines"><span>sph_neumann</span><span>sph_neumannf</span><span>sph_neumannl</span></span></a></div><div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div></div>
</td>
<td>   spherical Neumann functions <br> <span class="t-mark">(function)</span> </td></tr>
</table>
<h3><span class="mw-headline" id="Synopsis">Synopsis</span></h3>
<div dir="ltr" class="mw-geshi" style="text-align: left;"><div class="cpp source-cpp"><pre class="de1"><span class="kw1">namespace</span> std <span class="br0">{</span>
  <span class="kw1">using</span> float_t <span class="sy1">=</span> <span class="coMULTI">/* see description */</span><span class="sy4">;</span>
  <span class="kw1">using</span> double_t <span class="sy1">=</span> <span class="coMULTI">/* see description */</span><span class="sy4">;</span>
<span class="br0">}</span>
 
<span class="co2">#define HUGE_VAL /* see description */</span>
<span class="co2">#define HUGE_VALF /* see description */</span>
<span class="co2">#define HUGE_VALL /* see description */</span>
<span class="co2">#define INFINITY /* see description */</span>
<span class="co2">#define NAN /* see description */</span>
<span class="co2">#define FP_INFINITE /* see description */</span>
<span class="co2">#define FP_NAN /* see description */</span>
<span class="co2">#define FP_NORMAL /* see description */</span>
<span class="co2">#define FP_SUBNORMAL /* see description */</span>
<span class="co2">#define FP_ZERO /* see description */</span>
<span class="co2">#define FP_FAST_FMA /* see description */</span>
<span class="co2">#define FP_FAST_FMAF /* see description */</span>
<span class="co2">#define FP_FAST_FMAL /* see description */</span>
<span class="co2">#define FP_ILOGB0 /* see description */</span>
<span class="co2">#define FP_ILOGBNAN /* see description */</span>
<span class="co2">#define MATH_ERRNO /* see description */</span>
<span class="co2">#define MATH_ERREXCEPT /* see description */</span>
 
<span class="co2">#define math_errhandling /* see description */</span>
 
<span class="kw1">namespace</span> std <span class="br0">{</span>
  <span class="kw4">float</span> acos<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> acos<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> acos<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> acosf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> acosl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> asin<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> asin<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> asin<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> asinf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> asinl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> atan<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> atan<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> atan<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> atanf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> atanl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> atan2<span class="br0">(</span><span class="kw4">float</span> y, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> atan2<span class="br0">(</span><span class="kw4">double</span> y, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> atan2<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> y, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> atan2f<span class="br0">(</span><span class="kw4">float</span> y, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> atan2l<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> y, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> cos<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> cos<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> cos<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> cosf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> cosl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> sin<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> sin<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> sin<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> sinf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> sinl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> tan<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> tan<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> tan<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> tanf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> tanl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> acosh<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> acosh<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> acosh<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> acoshf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> acoshl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> asinh<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> asinh<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> asinh<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> asinhf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> asinhl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> atanh<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> atanh<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> atanh<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> atanhf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> atanhl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> cosh<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> cosh<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> cosh<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> coshf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> coshl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> sinh<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> sinh<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> sinh<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> sinhf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> sinhl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> tanh<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> tanh<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> tanh<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> tanhf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> tanhl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> exp<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> exp<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> exp<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> expf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> expl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> exp2<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> exp2<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> exp2<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> exp2f<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> exp2l<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> expm1<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> expm1<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> expm1<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> expm1f<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> expm1l<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> frexp<span class="br0">(</span><span class="kw4">float</span> value, <span class="kw4">int</span><span class="sy2">*</span> exp<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> frexp<span class="br0">(</span><span class="kw4">double</span> value, <span class="kw4">int</span><span class="sy2">*</span> exp<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> frexp<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> value, <span class="kw4">int</span><span class="sy2">*</span> exp<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> frexpf<span class="br0">(</span><span class="kw4">float</span> value, <span class="kw4">int</span><span class="sy2">*</span> exp<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> frexpl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> value, <span class="kw4">int</span><span class="sy2">*</span> exp<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">int</span> ilogb<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">int</span> ilogb<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">int</span> ilogb<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">int</span> ilogbf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">int</span> ilogbl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> ldexp<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">int</span> exp<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> ldexp<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">int</span> exp<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> ldexp<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">int</span> exp<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> ldexpf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">int</span> exp<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> ldexpl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">int</span> exp<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> log<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> log<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> log<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> logf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> logl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> log10<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> log10<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> log10<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> log10f<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> log10l<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> log1p<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> log1p<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> log1p<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> log1pf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> log1pl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> log2<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> log2<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> log2<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> log2f<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> log2l<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> logb<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> logb<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> logb<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> logbf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> logbl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> modf<span class="br0">(</span><span class="kw4">float</span> value, <span class="kw4">float</span><span class="sy2">*</span> iptr<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> modf<span class="br0">(</span><span class="kw4">double</span> value, <span class="kw4">double</span><span class="sy2">*</span> iptr<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> modf<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> value, <span class="kw4">long</span> <span class="kw4">double</span><span class="sy2">*</span> iptr<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> modff<span class="br0">(</span><span class="kw4">float</span> value, <span class="kw4">float</span><span class="sy2">*</span> iptr<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> modfl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> value, <span class="kw4">long</span> <span class="kw4">double</span><span class="sy2">*</span> iptr<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> scalbn<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">int</span> n<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> scalbn<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">int</span> n<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> scalbn<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">int</span> n<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> scalbnf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">int</span> n<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> scalbnl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">int</span> n<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> scalbln<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">long</span> <span class="kw4">int</span> n<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> scalbln<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">int</span> n<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> scalbln<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">int</span> n<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> scalblnf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">long</span> <span class="kw4">int</span> n<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> scalblnl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">int</span> n<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> cbrt<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> cbrt<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> cbrt<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> cbrtf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> cbrtl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// absolute values</span>
  <span class="kw4">constexpr</span> <span class="kw4">int</span> abs<span class="br0">(</span><span class="kw4">int</span> j<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">int</span> abs<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">int</span> j<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> abs<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> j<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> abs<span class="br0">(</span><span class="kw4">float</span> j<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> abs<span class="br0">(</span><span class="kw4">double</span> j<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> abs<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> j<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fabs<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> fabs<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fabs<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fabsf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fabsl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> hypot<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> hypot<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> hypot<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> hypotf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> hypotl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// three-dimensional hypotenuse</span>
  <span class="kw4">float</span> hypot<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y, <span class="kw4">float</span> z<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> hypot<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y, <span class="kw4">double</span> z<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> hypot<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y, <span class="kw4">long</span> <span class="kw4">double</span> z<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> pow<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> pow<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> pow<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> powf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> powl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> sqrt<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> sqrt<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> sqrt<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> sqrtf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> sqrtl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> erf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> erf<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> erf<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> erff<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> erfl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> erfc<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> erfc<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> erfc<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> erfcf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> erfcl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> lgamma<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> lgamma<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> lgamma<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> lgammaf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> lgammal<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> tgamma<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> tgamma<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> tgamma<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> tgammaf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> tgammal<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> ceil<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> ceil<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> ceil<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> ceilf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> ceill<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> floor<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> floor<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> floor<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> floorf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> floorl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> nearbyint<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> nearbyint<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> nearbyint<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> nearbyintf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> nearbyintl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">float</span> rint<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">double</span> rint<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> rint<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> rintf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> rintl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">long</span> <span class="kw4">int</span> lrint<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">int</span> lrint<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">int</span> lrint<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">int</span> lrintf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">int</span> lrintl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> llrint<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> llrint<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> llrint<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> llrintf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> llrintl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> round<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> round<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> round<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> roundf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> roundl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">int</span> lround<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">int</span> lround<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">int</span> lround<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">int</span> lroundf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">int</span> lroundl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> llround<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> llround<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> llround<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> llroundf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">long</span> <span class="kw4">int</span> llroundl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> trunc<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> trunc<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> trunc<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> truncf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> truncl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fmod<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> fmod<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fmod<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fmodf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fmodl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> remainder<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> remainder<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> remainder<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> remainderf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> remainderl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> remquo<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y, <span class="kw4">int</span><span class="sy2">*</span> quo<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> remquo<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y, <span class="kw4">int</span><span class="sy2">*</span> quo<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> remquo<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y, <span class="kw4">int</span><span class="sy2">*</span> quo<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> remquof<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y, <span class="kw4">int</span><span class="sy2">*</span> quo<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> remquol<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y, <span class="kw4">int</span><span class="sy2">*</span> quo<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> copysign<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> copysign<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> copysign<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> copysignf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> copysignl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">double</span> nan<span class="br0">(</span><span class="kw4">const</span> <span class="kw4">char</span><span class="sy2">*</span> tagp<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span> nanf<span class="br0">(</span><span class="kw4">const</span> <span class="kw4">char</span><span class="sy2">*</span> tagp<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span> nanl<span class="br0">(</span><span class="kw4">const</span> <span class="kw4">char</span><span class="sy2">*</span> tagp<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> nextafter<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> nextafter<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> nextafter<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> nextafterf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> nextafterl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> nexttoward<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> nexttoward<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> nexttoward<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> nexttowardf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> nexttowardl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fdim<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> fdim<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fdim<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fdimf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fdiml<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fmax<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> fmax<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fmax<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fmaxf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fmaxl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fmin<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> fmin<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fmin<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fminf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fminl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fma<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y, <span class="kw4">float</span> z<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> fma<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y, <span class="kw4">double</span> z<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fma<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y, <span class="kw4">long</span> <span class="kw4">double</span> z<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> fmaf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y, <span class="kw4">float</span> z<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> fmal<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y, <span class="kw4">long</span> <span class="kw4">double</span> z<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// linear interpolation</span>
  <span class="kw4">constexpr</span> <span class="kw4">float</span> lerp<span class="br0">(</span><span class="kw4">float</span> a, <span class="kw4">float</span> b, <span class="kw4">float</span> t<span class="br0">)</span> <span class="kw1">noexcept</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">double</span> lerp<span class="br0">(</span><span class="kw4">double</span> a, <span class="kw4">double</span> b, <span class="kw4">double</span> t<span class="br0">)</span> <span class="kw1">noexcept</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">long</span> <span class="kw4">double</span> lerp<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> a, <span class="kw4">long</span> <span class="kw4">double</span> b, <span class="kw4">long</span> <span class="kw4">double</span> t<span class="br0">)</span> <span class="kw1">noexcept</span><span class="sy4">;</span>
 
  <span class="co1">// classification / comparison functions</span>
  <span class="kw4">constexpr</span> <span class="kw4">int</span> fpclassify<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">int</span> fpclassify<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">int</span> fpclassify<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isfinite<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isfinite<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isfinite<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isinf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isinf<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isinf<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isnan<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isnan<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isnan<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isnormal<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isnormal<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isnormal<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> signbit<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> signbit<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> signbit<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isgreater<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isgreater<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isgreater<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isgreaterequal<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isgreaterequal<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isgreaterequal<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isless<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isless<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isless<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> islessequal<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> islessequal<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> islessequal<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> islessgreater<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> islessgreater<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> islessgreater<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isunordered<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isunordered<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">constexpr</span> <span class="kw4">bool</span> isunordered<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// mathematical special functions</span>
 
  <span class="co1">// associated Laguerre polynomials</span>
  <span class="kw4">double</span>       assoc_laguerre<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">unsigned</span> m, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        assoc_laguerref<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">unsigned</span> m, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  assoc_laguerrel<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">unsigned</span> m, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// associated Legendre functions</span>
  <span class="kw4">double</span>       assoc_legendre<span class="br0">(</span><span class="kw4">unsigned</span> l, <span class="kw4">unsigned</span> m, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        assoc_legendref<span class="br0">(</span><span class="kw4">unsigned</span> l, <span class="kw4">unsigned</span> m, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  assoc_legendrel<span class="br0">(</span><span class="kw4">unsigned</span> l, <span class="kw4">unsigned</span> m, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// beta function</span>
  <span class="kw4">double</span>       beta<span class="br0">(</span><span class="kw4">double</span> x, <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        betaf<span class="br0">(</span><span class="kw4">float</span> x, <span class="kw4">float</span> y<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  betal<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x, <span class="kw4">long</span> <span class="kw4">double</span> y<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// complete elliptic integral of the first kind</span>
  <span class="kw4">double</span>       comp_ellint_1<span class="br0">(</span><span class="kw4">double</span> k<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        comp_ellint_1f<span class="br0">(</span><span class="kw4">float</span> k<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  comp_ellint_1l<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> k<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// complete elliptic integral of the second kind</span>
  <span class="kw4">double</span>       comp_ellint_2<span class="br0">(</span><span class="kw4">double</span> k<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        comp_ellint_2f<span class="br0">(</span><span class="kw4">float</span> k<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  comp_ellint_2l<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> k<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// complete elliptic integral of the third kind</span>
  <span class="kw4">double</span>       comp_ellint_3<span class="br0">(</span><span class="kw4">double</span> k, <span class="kw4">double</span> nu<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        comp_ellint_3f<span class="br0">(</span><span class="kw4">float</span> k, <span class="kw4">float</span> nu<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  comp_ellint_3l<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> k, <span class="kw4">long</span> <span class="kw4">double</span> nu<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// regular modified cylindrical Bessel functions</span>
  <span class="kw4">double</span>       cyl_bessel_i<span class="br0">(</span><span class="kw4">double</span> nu, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        cyl_bessel_if<span class="br0">(</span><span class="kw4">float</span> nu, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  cyl_bessel_il<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> nu, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// cylindrical Bessel functions of the first kind</span>
  <span class="kw4">double</span>       cyl_bessel_j<span class="br0">(</span><span class="kw4">double</span> nu, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        cyl_bessel_jf<span class="br0">(</span><span class="kw4">float</span> nu, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  cyl_bessel_jl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> nu, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// irregular modified cylindrical Bessel functions</span>
  <span class="kw4">double</span>       cyl_bessel_k<span class="br0">(</span><span class="kw4">double</span> nu, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        cyl_bessel_kf<span class="br0">(</span><span class="kw4">float</span> nu, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  cyl_bessel_kl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> nu, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// cylindrical Neumann functions;</span>
  <span class="co1">// cylindrical Bessel functions of the second kind</span>
  <span class="kw4">double</span>       cyl_neumann<span class="br0">(</span><span class="kw4">double</span> nu, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        cyl_neumannf<span class="br0">(</span><span class="kw4">float</span> nu, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  cyl_neumannl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> nu, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// incomplete elliptic integral of the first kind</span>
  <span class="kw4">double</span>       ellint_1<span class="br0">(</span><span class="kw4">double</span> k, <span class="kw4">double</span> phi<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        ellint_1f<span class="br0">(</span><span class="kw4">float</span> k, <span class="kw4">float</span> phi<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  ellint_1l<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> k, <span class="kw4">long</span> <span class="kw4">double</span> phi<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// incomplete elliptic integral of the second kind</span>
  <span class="kw4">double</span>       ellint_2<span class="br0">(</span><span class="kw4">double</span> k, <span class="kw4">double</span> phi<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        ellint_2f<span class="br0">(</span><span class="kw4">float</span> k, <span class="kw4">float</span> phi<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  ellint_2l<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> k, <span class="kw4">long</span> <span class="kw4">double</span> phi<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// incomplete elliptic integral of the third kind</span>
  <span class="kw4">double</span>       ellint_3<span class="br0">(</span><span class="kw4">double</span> k, <span class="kw4">double</span> nu, <span class="kw4">double</span> phi<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        ellint_3f<span class="br0">(</span><span class="kw4">float</span> k, <span class="kw4">float</span> nu, <span class="kw4">float</span> phi<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  ellint_3l<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> k, <span class="kw4">long</span> <span class="kw4">double</span> nu, <span class="kw4">long</span> <span class="kw4">double</span> phi<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// exponential integral</span>
  <span class="kw4">double</span>       expint<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        expintf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  expintl<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// Hermite polynomials</span>
  <span class="kw4">double</span>       hermite<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        hermitef<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  hermitel<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// Laguerre polynomials</span>
  <span class="kw4">double</span>       laguerre<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        laguerref<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  laguerrel<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// Legendre polynomials</span>
  <span class="kw4">double</span>       legendre<span class="br0">(</span><span class="kw4">unsigned</span> l, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        legendref<span class="br0">(</span><span class="kw4">unsigned</span> l, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  legendrel<span class="br0">(</span><span class="kw4">unsigned</span> l, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// Riemann zeta function</span>
  <span class="kw4">double</span>       riemann_zeta<span class="br0">(</span><span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        riemann_zetaf<span class="br0">(</span><span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  riemann_zetal<span class="br0">(</span><span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// spherical Bessel functions of the first kind</span>
  <span class="kw4">double</span>       sph_bessel<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        sph_besself<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  sph_bessell<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// spherical associated Legendre functions</span>
  <span class="kw4">double</span>       sph_legendre<span class="br0">(</span><span class="kw4">unsigned</span> l, <span class="kw4">unsigned</span> m, <span class="kw4">double</span> theta<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        sph_legendref<span class="br0">(</span><span class="kw4">unsigned</span> l, <span class="kw4">unsigned</span> m, <span class="kw4">float</span> theta<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  sph_legendrel<span class="br0">(</span><span class="kw4">unsigned</span> l, <span class="kw4">unsigned</span> m, <span class="kw4">long</span> <span class="kw4">double</span> theta<span class="br0">)</span><span class="sy4">;</span>
 
  <span class="co1">// spherical Neumann functions;</span>
  <span class="co1">// spherical Bessel functions of the second kind</span>
  <span class="kw4">double</span>       sph_neumann<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">float</span>        sph_neumannf<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">float</span> x<span class="br0">)</span><span class="sy4">;</span>
  <span class="kw4">long</span> <span class="kw4">double</span>  sph_neumannl<span class="br0">(</span><span class="kw4">unsigned</span> n, <span class="kw4">long</span> <span class="kw4">double</span> x<span class="br0">)</span><span class="sy4">;</span>
<span class="br0">}</span></pre></div></div>

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